Volatility skew is the pattern of implied volatility varying by strike within a single expiration. In equity index options the pattern is persistent and one-sided: out-of-the-money puts trade at higher implied volatility than out-of-the-money calls the same distance from the underlying. Say ES trades at 5,600 with 30 days to expiration and at-the-money implied volatility of 14%. The 5,320 put — 5% below the market — might carry an 18% implied vol while the 5,880 call, 5% above, shows 12%. Under the textbook pricing model all three strikes would carry identical volatility. The market disagrees, and the shape of that disagreement is information.
The skew exists for two structural reasons. First, crash insurance: institutions are net long equities and pay a standing premium for index puts that protect the portfolio, often selling upside calls to finance the hedge. Second, the leverage effect: falling prices genuinely produce higher volatility, so low strikes correspond to the high-volatility states of the world and deserve richer pricing. The two drivers behave differently under stress, which is why they are worth separating.
Where the Skew Shows Up
Plot implied volatility against strike for a single index expiration and you get a downward-sloping curve — highest at the low strikes, lowest somewhere above the money. Practitioners call the shape a smirk. It appears in every listed equity index product I have ever pulled a chain for: options on S&P and Nasdaq futures as well as the cash index complexes. It has survived decades of traders attempting to arbitrage it away — strong evidence that it is compensation for real risk, not a mispricing.
A useful historical anchor: the skew steepened permanently after October 1987. Before the crash, index option chains traded close to flat across strikes, roughly as the textbook model implies. One session repriced the possibility of a double-digit daily gap, and index options have embedded that memory ever since.
Why Equity Indexes Skew to the Put Side
Crash insurance demand
Pension funds and asset managers — the natural holders of equity risk — buy index puts as portfolio insurance, continuously and in size. Many of the same accounts write covered calls against their holdings to offset the cost. The flow is one-directional and it never really stops: puts get bid, calls get offered. Dealers take the other side and charge a warehousing premium for a risk they cannot fully hedge, because the scenario they are insuring is exactly the one where markets gap through hedge levels and liquidity vanishes. That premium lives in the low strikes as extra implied volatility.
Index skew is also steeper than what most single stocks show, and the reason is correlation. A sell-off is a correlation event: everything falls together, so index volatility spikes harder than the average volatility of its components. Index puts insure the systematic scenario — precisely the risk you cannot diversify away. Individual names can even skew the other way: a rumored takeover target will show call skew, because the jump risk there points up.
The leverage effect
The second driver is mechanical rather than flow-based. When a firm's equity value falls, its debt does not fall with it, so the equity claim becomes more leveraged and its volatility rises. Scale that logic up to the index and you get the empirical regularity underneath the whole curve: returns and volatility are negatively correlated. Down moves happen on rising vol; grinding rallies happen on falling vol. An option struck 5% below the market pays off precisely when volatility is high, so pricing it at the calm at-the-money vol would systematically undercharge. Part of the skew is simply rational pricing of that correlation — it would exist even if nobody bought portfolio insurance at all.

